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Finding the Third Proportional to 9,096.47 and 19,296.56

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Solution

The third proportional to 9,096.47 and 19,296.56 is: 40,934.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.47 : 19,296.56 = 19,296.56 : x
  2. Step 2: Convert to fraction form
    9,096.47/19,296.56 = 19,296.56/x
  3. Step 3: Cross multiply
    9,096.47x = 19,296.56 × 19,296.56
  4. Step 4: Simplify right side
    9,096.47x = 372,357,324.32
  5. Step 5: Solve for x
    x = 372,357,324.32/9,096.47
  6. Step 6: Final answer
    x = 40,934.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.